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Maps Preserving Projections on von Neumann Algebras(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2016年04期
Page:
0-
Research Field:
·数学与计算机科学·
Publishing date:

Info

Title:
Maps Preserving Projections on von Neumann Algebras
Author(s):
Fei Xiuhai1; 2; Zhang Jianhua2
(1.Department of Mathematics,Dianxi Science and Technology Normal University,Lincang 677000,China)(2. College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China)
Keywords:
von Neumann algebra; projection; Jordan isomorphism
PACS:
O177.1
DOI:
10.3969/j.issn.1001-4616.2016.04.002
Abstract:
Let A be a von Neumann algebra over complex Hilbert space H,and P(A)denote all projections of A. In this paper,we prove that a continuous surjective mapping Φ:A→A if satisfies A+λB∈P(A)Φ(A)+λΦ(B)∈P(A),A,B∈A and λ∈C,then Φ is a Jordan isomorphism on A.

References:

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Last Update: 2016-12-31